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Finding the Fourth Proportional to 165,061, 227,836.04 and 105,445

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Solution

The fourth proportional to 165,061, 227,836.04 and 105,445 is: 145,547.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,061 : 227,836.04 = 105,445 : x
  2. Step 2: Convert to fraction form
    165,061/227,836.04 = 105,445/x
  3. Step 3: Cross multiply
    165,061x = 227,836.04 × 105,445
  4. Step 4: Simplify right side
    165,061x = 24,024,171,237.80
  5. Step 5: Solve for x
    x = 24,024,171,237.80/165,061
  6. Step 6: Final answer
    x = 145,547.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.